A characterization of Nested Groups in terms of conjugacy classes

A group is nested if the centers of the irreducible characters form a chain. In this paper, we will show that there is a set of subgroups associated with the conjugacy classes of group so that a group is nested if and only if these subgroups form a chain.

Bibliographic Details
Main Authors: Burkett, Shawn T., Lewis, Mark L.
Format: Article
Language:English
Published: Académie des sciences 2020-03-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.18/